Full but not strong dualities at the finite level: Extending the realm |
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| Authors: | Brian A. Davey Miroslav Haviar Todd Niven Narwin Perkal |
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| Affiliation: | (1) Department of Mathematics, La Trobe University, Victoria, 3086, Australia;(2) Department of Mathematics, Matej Bel University, 974 01 Banska Bystrica, Slovakia |
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| Abstract: | The realm of natural dualities that are known to be full but not strong at the finite level is a very small one, consisting of a single example. This example, based on the three-element bounded distributive lattice, was presented by Davey, Haviar and Willard [8]. In this paper, we extend this realm to the class of all natural dualities based on a finite non-boolean bounded distributive lattice. Received June 15, 2005; accepted in final form November 26, 2005. |
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| Keywords: | KeywordHeading" >2000 Mathematics Subject Classification. Primary 06D50 Secondary 06D05, 08A55, 08C05 |
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